BCS-BEC crossover and the disappearance of Fulde-Ferrell-Larkin-Ovchinnikov correlations in a spin-imbalanced one-dimensional Fermi gas

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.023629· OSTI ID:21408301

Heidrich-Meisner, F ^[1]; Feiguin, A E ^[2]; Schollwoeck, U ^[1]; Zwerger, W ^[3]

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1. Physics Department and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universitaet Muenchen, D-80333 Muenchen (Germany)
2. Department of Physics and Astronomy, University of Wyoming, Laramie, Wyoming 82071 (United States)
3. Physik Department, Technische Universitaet Muenchen, D-85747 Garching (Germany)

We present a numerical study of the one-dimensional BCS-BEC crossover of a spin-imbalanced Fermi gas. The crossover is described by the Bose-Fermi resonance model in a real space representation. Our main interest is in the behavior of the pair correlations, which, in the BCS limit, are of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type, while in the Bose-Einstein condensate limit, a superfluid of diatomic molecules forms that exhibits quasi-condensation at zero momentum. We use the density matrix renormalization group method to compute the phase diagram as a function of the detuning of the molecular level and the polarization. As a main result, we show that FFLO-like correlations disappear well below full polarization close to the resonance. The critical polarization depends on both the detuning and the filling.

• OSTI ID: 21408301
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
BOSE-EINSTEIN CONDENSATION
CORRELATIONS
DENSITY MATRIX
DIAGRAMS
FERMI GAS
FERMI RESONANCE
INFORMATION
MATHEMATICS
MATRICES
MOLECULES
NUMERICAL ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
PARTICLE PROPERTIES
PHASE DIAGRAMS
POLARIZATION
RENORMALIZATION
RESONANCE
SPIN
SUPERFLUIDITY